Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

Consider the following statements:

1) The surface area of the sphere is √5 Times the curved surface area of the cone.

2) The surface area of the cube is equal to the curved surface area of the cylinder. Which of the above statements is/are correct?

A) 1 only	B) 2 only
C) Both 1 and 2	D) Neither 1 nor 2

Answer & Explanation Answer: D) Neither 1 nor 2

Explanation:

The top view of the given assembly will look like the figure above

Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.

Here side of cube = a

Diameter of Sphere = body diagnol = √3 a

Radius of sphere = √3 a/2 =r1

Height of Cylinder = Height of cone = side of cube = a =h

Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)

Thus neither 1 nor 2 are true

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Filed Under: English
Exam Prep: Bank Exams

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Q:

Venn diagram was invented by

A) Lucien Vidi	B) John Venn
C) Theophilus Van Kannel	D) Lewis Urry

Answer & Explanation Answer: B) John Venn

Explanation:

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Filed Under: Inventions
Exam Prep: AIEEE , Bank Exams , CAT

0 1458

Q:

If the measures of the angles of a triangle are in the ratio. 1:2:3 and if the length of the smallest side of the triangle is 10cm, then the length of the longest side is

A) 20cm	B) 22cm
C) 24cm	D) 18cm

Answer & Explanation Answer: A) 20cm

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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Q:

$If rsin \emptyset = 1, rcos \emptyset = \sqrt 3, then the value of r^{2} \tan \emptyset is$

A) 4	B) 1/√3
C) 4/√3	D) 4√3

Answer & Explanation Answer: C) 4/√3

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

A) 14	B) 14√2
C) 7	D) 7√2

Answer & Explanation Answer: A) 14

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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Q:

Mutiny of 1857 was described as the First Indian War of Independence by

A) Bal Gangadhar Tilak	B) Subhash Chandra Bose
C) Bhagat Singh	D) V. D. Savarkar

Answer & Explanation Answer: D) V. D. Savarkar

Explanation:

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Filed Under: Indian History
Exam Prep: Bank Exams

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Q:

If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: D) 4

Explanation:

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Filed Under: Non Verbal Reasoning
Exam Prep: Bank Exams

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Q:

Murshid Quli Khan, Alivardi Khan and Sirajuddaullah were all nawabs of ___________?

A) Lucknow	B) Varanasi
C) Hyderabad	D) Bengal

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